Information on Result #695381
Linear OA(2722, 735, F27, 11) (dual of [735, 713, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(2721, 730, F27, 11) (dual of [730, 709, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2717, 730, F27, 9) (dual of [730, 713, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2729, 1438, F27, 11) (dual of [1438, 1409, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2724, 746, F27, 11) (dual of [746, 722, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(2725, 793, F27, 11) (dual of [793, 768, 12]-code) | [i] | ||
| 4 | Linear OOA(2722, 367, F27, 2, 11) (dual of [(367, 2), 712, 12]-NRT-code) | [i] | OOA Folding | |